Time discretizations for evolution problems

被引：0
|
作者：
Miloslav Vlasák
机构：
[1] Charles University,Department of Mathematical Analysis
[2] Faculty of Mathematics and Physics,undefined
来源：
Applications of Mathematics | 2017年 / 62卷
关键词：
time discretizations; parabolic PDEs; stiff ODEs; Runge-Kutta methods; multi-step methods; 65J10; 65L04; 65L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this work is to give an introductory survey on time discretizations for liner parabolic problems. The theory of stability for stiff ordinary differential equations is explained on this problem and applied to Runge-Kutta and multi-step discretizations. Moreover, a natural connection between Galerkin time discretizations and Runge-Kutta methods together with order reduction phenomenon is discussed.
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页码：135 / 169
页数：34
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